40 citations · 159 across the 22 of their papers we have counts for
6 papers · 2 filters
A remark on the construction of centric linking systems
Bob Oliver
We give examples to show that it is not in general possible to prove the existence and uniqueness of centric linking systems associated to a given fusion system inductively by addi…
Reduced fusion systems over -groups with abelian subgroup of index : II
David A. Craven, Bob Oliver, Jason Semeraro
Let be an odd prime, and let be a -group with a unique elementary abelian subgroup of index . We classify the simple fusion systems over all such groups in wh…
Reduced fusion systems over 2-groups of small order
Kasper K. S. Andersen, Bob Oliver, Joana Ventura
We prove, when is a -group of order at most , that each reduced fusion system over is the fusion system of a finite simple group and is tame. It then follows that e…
Automorphisms of fusion systems of sporadic simple groups
Bob Oliver
We prove here that with a very small number of exceptions, when is a sporadic simple group and is a prime such that the Sylow -subgroups of are nonabelian, then $Out…
Reductions to simple fusion systems
Bob Oliver
We prove that if are saturated fusion systems over -groups , such that , and either $Aut_{\mat…
Automorphisms of fusion systems of finite simple groups of Lie type
Carles Broto, Jesper M. Møller, Bob Oliver
For a finite group G of Lie type and a prime p, we compare the automorphism groups of the fusion and linking systems of G at p with the automorphism group of G itself. When p is th…